Elizabeth Warren vs. House Republicans, round 2

White House adviser Elizabeth Warren returns to Capitol Hill to face Republican critics later this month.

WASHINGTON (CNNMoney) -- White House adviser Elizabeth Warren's reward for dealing with a cantankerous House committee last week: Another even longer day with many of the same congressmen.

House Oversight Committee chair Darrell Issa asked Warren to come back for more questioning after the tense hearing, which ended abruptly when Warren left due to a previously scheduled event in her capacity setting up the Consumer Financial Protection Bureau (CFPB).

Issa's letter said he wanted to question Warren again to give lawmakers more time to grill her. He cited her "unwillingness to provide direct and responsive answers to a number of important questions" at last week's hearing, according to the letter.

The California Republican asked her to clear an entire day in June for the hearing. The hearing would be Warren's third appearance before a GOP-controlled House panel this year.

"The American people have a right to know how you intend to organize and operate the CFPB," Issa said in the letter.

Warren is a consumer advocate and Harvard University professor who's currently working for Treasury and the White House. Her job is to ensure the consumer bureau is ready to start regulating mortgages and credit cards on July 21.

Republicans in both chambers are pursing legislation to shrink the new agency's powers and to get rid of the top job, bureau director, and replace it with a commission.

But ever since Republicans took over the House, they've been focused on curbing and reversing powers of the consumer bureau, saying the new federal agency has too much power and lacks oversight.

Republicans have taken particular aim at Warren, who came up with the idea for the bureau and is a top candidate to run that new agency. They don't like that the White House appointed her to create the new bureau in an advisory position, meaning Warren is doing all the work of creating the bureau without having to weather a Senate confirmation battle.

And some speculate the White House could appoint Warren to run the bureau through the end of 2012 through a recess appointment. That move would be in response to a Senate Republican threat to block any other nominations until a director is in place.